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Finding the Third Proportional to 72,263.81 and 152,317.69

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Solution

The third proportional to 72,263.81 and 152,317.69 is: 321,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,263.81 : 152,317.69 = 152,317.69 : x
  2. Step 2: Convert to fraction form
    72,263.81/152,317.69 = 152,317.69/x
  3. Step 3: Cross multiply
    72,263.81x = 152,317.69 × 152,317.69
  4. Step 4: Simplify right side
    72,263.81x = 23,200,677,925.35
  5. Step 5: Solve for x
    x = 23,200,677,925.35/72,263.81
  6. Step 6: Final answer
    x = 321,055.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.